document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=386673>Question 386673</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A box contains six letters, shown as follows. What is the probability of the outcome DAN in that order if three letters are drawn one-by-one<BR>\n" );
document.write( "a. with replacement?<BR>\n" );
document.write( "b. without replacement?                                             R A N D O M </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #275543 by </B><A HREF=/tutors/aboutme.mpl?userid=gwendolyn><B>gwendolyn(128)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gwendolyn><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=gwendolyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=275543\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) In the case of replacement, we need to pick the D out of all 6 letters (P = 1/6), then we need to pick the A out of all 6 (P = 1/6), then we need to pick the N out of all 6 (P = 1/6). We multiply the probabilities together since they must all occur. So, the answer is (1/6)*(1/6)*(1/6) or 1/216.\r<BR>\n" );
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document.write( "b) In the case without replacement, we must first pick the D out of all 6 letters (P = 1/6), then we must pick the A out of the remaining five letters (P = 1/5), then we must pick the N out of the remaining 4 letters (P = 1/4). We multiply the probabilities together since they must all occur. So, the answer is (1/6)*(1/5)*(1/4) or 1/120. </SPAN>\n" );
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